Which property of equality justifies the step for solving the equation that is displayed?

3z/2−5=10

3z/2−5+5=10+5

3z/2=15

(1 point)
Responses

Subtraction Property of Equality
Subtraction Property of Equality

Multiplication Property of Equality
Multiplication Property of Equality

Division Property of Equality
Division Property of Equality

Addition Property of Equality

1 answer

The property of equality that justifies the step shown in the equation is the Addition Property of Equality. This property states that you can add the same value to both sides of an equation without changing the equality. In this case, adding 5 to both sides of the equation \( \frac{3z}{2} - 5 = 10 \) leads to \( \frac{3z}{2} = 15 \).